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15 Jun 2020, 23:40
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
47% (00:47) correct
53%
(01:28)
wrong
based on 15
sessions
History
Date
Time
Result
Not Attempted Yet
How many buses are required to transport 175 students to the museum?
(1) No two buses have the same carrying capacity.
(2) The average capacity of a bus is 55 students.
(1) No two buses have the same carrying capacity.
(2) The average capacity of a bus is 55 students.
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16 Jun 2020, 01:55
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How many buses are required to transport 175 students to the museum?
Statement 1: No two buses have the same carrying capacity.
Clearly Insufficient.
Statement 2: The average capacity of a bus is 55 students.
=> A bus can on an average carry 55 students.
=> any no. of buses can have 55 students.
So, 55* 3 = 165.
=> in 3 buses 165 students can be taken to the museum.
thus in 4 buses, 55*4 = 220, students can be taken to the museum.
=> A total of 4 buses are required.
So Sufficient.
Answer B.
Statement 1: No two buses have the same carrying capacity.
Clearly Insufficient.
Statement 2: The average capacity of a bus is 55 students.
=> A bus can on an average carry 55 students.
=> any no. of buses can have 55 students.
So, 55* 3 = 165.
=> in 3 buses 165 students can be taken to the museum.
thus in 4 buses, 55*4 = 220, students can be taken to the museum.
=> A total of 4 buses are required.
So Sufficient.
Answer B.
16 Jun 2020, 09:04
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SajjadAhmad
It's not clear what the question is even asking. As I'd interpret it, the answer is E. We might need four buses, using both statements, if their capacities are 53, 54, 56 and 57, say. But we might only need one bus if their capacities are 1, 2, 3 and 214.
But the question might instead mean something more like "if you don't know about how bus capacity is distributed beyond the information in the statements, what is the minimum number of buses you would absolutely require if you wanted to be sure you could transport the 175 students?" Then from Statement 2, we could be sure with 4 buses we could transport the students, since the four largest-capacity buses will carry at least 220 students. So interpreting the question in that way, the answer is B.
Since the question setup is inherently problematic, i wouldn't be able to even guess what the source (where is it from?) thinks the "OA" is.
